Extra space-time dimensions: Towards a solution to the cosmological constant problem

Physics

Scientific paper

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Scientific paper

We discuss the possibility that the cosmological constant problem is solved by raising the number of spatial dimensions a la Kaluza-Klein. In (4+2)-dimensional pure gravity theory with the explicit Λ-term we find classical solutions with vanishing physical cosmological constant and compact 2-dimensions. However, there also exist solutions with the non-vanishing physical Λ-term, and the case Λphys=) is not preferred at the classical level. We conjecture that quantum corrections and/ or additional interactions single out the solution with vanishing physical cosmological constant.

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